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Finding the Fourth Proportional to 378,961.76, 522,967.32 and 209,196

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Solution

The fourth proportional to 378,961.76, 522,967.32 and 209,196 is: 288,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,961.76 : 522,967.32 = 209,196 : x
  2. Step 2: Convert to fraction form
    378,961.76/522,967.32 = 209,196/x
  3. Step 3: Cross multiply
    378,961.76x = 522,967.32 × 209,196
  4. Step 4: Simplify right side
    378,961.76x = 109,402,671,474.72
  5. Step 5: Solve for x
    x = 109,402,671,474.72/378,961.76
  6. Step 6: Final answer
    x = 288,690.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.